Boundedness and asymptotic behavior of solutions of a forced difference equation
The authors consider the nonlinear difference equation?[yn+pnyn-h]+qnf(yn-k)=rnwhere ?yn=yn+1-yn, {pn}, {qn}, and {rn} are real sequences, and uf(u)>0 for u?0. Sufficient conditions for boundedness and convergence to zero of certain types of solutions axe given. Examples illustrating the results...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
1994-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171294000542 |
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| _version_ | 1832556139337744384 |
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| author | John R. Graef Paul W. Spikes |
| author_facet | John R. Graef Paul W. Spikes |
| author_sort | John R. Graef |
| collection | DOAJ |
| description | The authors consider the nonlinear difference equation?[yn+pnyn-h]+qnf(yn-k)=rnwhere ?yn=yn+1-yn, {pn}, {qn}, and {rn} are real sequences, and uf(u)>0 for u?0. Sufficient conditions for boundedness and convergence to zero of certain types of solutions axe given. Examples illustrating the results are also included. |
| format | Article |
| id | doaj-art-6024f3c62f5b47808d1593a87c32c776 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1994-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-6024f3c62f5b47808d1593a87c32c7762025-02-03T05:46:12ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251994-01-0117239740010.1155/S0161171294000542Boundedness and asymptotic behavior of solutions of a forced difference equationJohn R. Graef0Paul W. Spikes1Department of Mathematics and Statistics, Mississippi State University, Mississippi State, MS 39762, USADepartment of Mathematics and Statistics, Mississippi State University, Mississippi State, MS 39762, USAThe authors consider the nonlinear difference equation?[yn+pnyn-h]+qnf(yn-k)=rnwhere ?yn=yn+1-yn, {pn}, {qn}, and {rn} are real sequences, and uf(u)>0 for u?0. Sufficient conditions for boundedness and convergence to zero of certain types of solutions axe given. Examples illustrating the results are also included.http://dx.doi.org/10.1155/S0161171294000542difference equationsnonlinearforcedboundednessasymptotic behavior. |
| spellingShingle | John R. Graef Paul W. Spikes Boundedness and asymptotic behavior of solutions of a forced difference equation International Journal of Mathematics and Mathematical Sciences difference equations nonlinear forced boundedness asymptotic behavior. |
| title | Boundedness and asymptotic behavior of solutions of a forced difference equation |
| title_full | Boundedness and asymptotic behavior of solutions of a forced difference equation |
| title_fullStr | Boundedness and asymptotic behavior of solutions of a forced difference equation |
| title_full_unstemmed | Boundedness and asymptotic behavior of solutions of a forced difference equation |
| title_short | Boundedness and asymptotic behavior of solutions of a forced difference equation |
| title_sort | boundedness and asymptotic behavior of solutions of a forced difference equation |
| topic | difference equations nonlinear forced boundedness asymptotic behavior. |
| url | http://dx.doi.org/10.1155/S0161171294000542 |
| work_keys_str_mv | AT johnrgraef boundednessandasymptoticbehaviorofsolutionsofaforceddifferenceequation AT paulwspikes boundednessandasymptoticbehaviorofsolutionsofaforceddifferenceequation |